Not sure how to go about this.... Find the general solution to the equation: x+2y(√x^2+1) dy/dx = 0. Could anyone explain? Thanks.
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That's a separable differential equation. Write it as (in other words, separate it!) $\displaystyle 2ydy= -x\sqrt{x^2+ 1}dx$ and integrate both sides. To do the x integration, let $\displaystyle u= x^2+ 1$.
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